Wavelet bases on a manifold |
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Authors: | Abdellatif Jouini Mouna Kratou |
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Institution: | Faculty of Sciences of Tunis, Department of Mathematics, Campus, 1060 Tunis, Tunisia |
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Abstract: | Using the decomposition method, we present in this paper constructions of multiresolution analyses on a compact Riemannian manifold M of dimension n(n∈N). These analyses are generated by a finite number of basic functions and are adapted to the study of the Sobolev spaces H1(M) and . |
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Keywords: | Multiresolution analyses Wavelet bases Sobolev spaces Extension operators |
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